Nomenclature
|
a |
wavespeed |
|
A |
cross-sectional flow area of a pipe |
|
BM |
compatibility equations parameter for method of characteristics |
|
BP |
compatibility equations parameter for method of characteristics |
|
CD |
discharge coefficient |
|
CM |
compatibility equations parameter for method of characteristics |
|
CP |
compatibility equations parameter for method of characteristics |
|
CV |
valve coefficient |
|
CHW |
Hazen-Williams factor |
|
D |
diameter of a pipe |
|
E |
modulus of elasticity |
|
e |
pipe wall thickness |
|
f |
friction factor |
|
fT |
turbulent friction factor (used by Crane, 1988) |
|
fL |
laminar friction factor |
|
fTr |
transition friction factor |
|
F |
error value in mass balance |
|
FB |
Dimensionless pump torque parameter (see Four Quadrant Model Overview) |
|
FH |
Dimensionless pump head parameter (see Four Quadrant Model Overview) |
|
g |
gravitational constant |
|
H |
head |
|
HGL |
hydraulic gradeline (piezometric head) |
|
I |
moment of inertia of pump and entrained liquid |
|
J |
Jacobian matrix |
|
K |
loss factor |
|
K |
constant for Power Law fluid |
|
KB |
liquid bulk modulus of elasticity |
|
Ksprinkler |
fire sprinkler loss factor |
|
L |
length of a pipe |
|
mass flow rate |
|
n |
general constant |
|
n |
constant for Power Law fluid |
|
N |
pump synchronous speed (rpm) |
|
P |
pressure, static |
|
Po |
pressure, stagnation |
|
Pw |
wetted perimeter |
|
P |
power |
|
Q |
volumetric flow rate |
|
r |
radius |
|
r |
relaxation |
|
R, R’ |
resistance or gas constant |
|
Rc |
coefficient of rigidity |
|
Re |
Reynolds Number |
|
s |
pump speed |
|
SB |
parameter as derived from conservation of mass |
|
SC |
parameter as derived from conservation of mass |
|
Sy |
yield stress |
|
t |
time |
|
T |
torque on pump |
|
v |
pump flow ratio to reference |
|
V |
velocity |
|
V |
volumex distance along pipe centerline |
|
z |
elevation |
|
α, μ, θ |
angle |
|
α |
pump speed ratio |
|
β |
diameter ratio |
|
β |
torque ratio |
|
λ |
method of characteristics multiplier |
|
η |
efficiency |
|
ν |
kinematic viscosity |
|
ε |
roughness |
|
ω |
pump speed |
|
ρ |
density |
|
μ |
dynamic viscosity |
Subscripts
|
i |
junction or pipe station at which solution is sought |
|
j |
junctions with pipes connecting to junction i |
|
R |
rated conditions for a pump, usually BEP |
|
o |
stagnation |
|
∞ |
infinity, far away, ambient |
|
new |
current time for computation |
|
old |
most recent time for computation |
